IJPAM: Volume 77, No. 4 (2012)




Mukut Mani Tripathi



Faculty of Arts and Sciences
Adıyaman University
02040, Adıyaman, TURKEY

Faculty of Arts and Sciences
İnönü University
44280, Malatya, TURKEY

Banaras Hindu University
Varanasi, 221 005, INDIA
Abstract. In this paper we study the -dimensional
-para Sasakian manifolds. We obtain a necessary and
sufficient condition for an
-para Sasakian
-manifold to be an indefinite space form. We show that a
Ricci-semi-symmetric
-para Sasakian
-manifold is an indefinite space form. We investigate the necessary
and sufficient condition for an
-para Sasakian
-manifold to be locally
-symmetric. It is proved that in an
-para Sasakian
-manifold with
-parallel Ricci tensor the scalar curvature is constant. It is also
shown that every
-para Sasakian
-manifolds is pseudosymmetric in the sense of R. Deszcz.
Received: December 14, 2011
AMS Subject Classification: 53C25, 53C50
Key Words and Phrases: -para Sasakian
-manifold, Ricci-semi-symmetric space, locally
-symmetric space,
-parallel Ricci tensor, pseudosymmetric space
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 77
Issue: 4